Abstract
Bipolar neutrosophic set(BNS) is a generalization of bipolar fuzzy set
and neutrosophic set that can describe the uncertain information from
both positive and negative perspectives. In this contribution, we study
the multi-attribute decision making methods based on the distance
measure under the uncertain information which the attribute weights are
incompletely known or completely unknown. We first propose the distance
measures of the bipolar neutrosophic sets and analyze the properties of
the distance measures. Then, based on the bipolar neutrosophic
information, we establish the programming models to derive the attribute
weights of the alternatives. Furthermore, we give the multi-attribute
decision making method using the distance measure under the environment
of BNS. At last, we give a practical application and the result shows
the reasonable and effective of the proposed method in dealing with
decision making problems.